Emergency room physicians are specialized medical providers who are only able to work in one section of the hospital; the emergency room. The ER is open 24 hours per day and 7 days per week. In any given network there are a given number of ER physicians available and these physicians must be shared amongst the facilities, we can think of a facility as on particular emergency room in a specific hospital with a full staff requirement. The full staff requirement is met when the target number of physicians per shift is scheduled for a given period of time, say 7 days. The problem is the individual facilities are sharing physicians within the network and by law, physicians are not allowed to work more than 6 consecutive days in a row and for any individual physician, there must be 480 minutes or 8-hours between shifts.
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